CBSE BOARD XII, asked by happyking9, 9 months ago

the diff. of two complementary angles is 13 find angles

Answers

Answered by Anonymous

$\boxed{ \tt✦ \underline{GIVEN}}$

$\tt⟿diff. \: between \: complementary \: angles \\ \tt = 13 \degree$

$\boxed{ \tt✦ \underline{FIND}}$

$\tt⟿COMPLEMENTARY \: ANGLES \: ARE ?$

$\boxed{ \tt✦ \underline{SOLUTION}}$

$\tt\rightarrow let \: the \: f1st \: complementary \: angle \: be \: x \degree$

$\tt\rightarrow 2nd\: complementary \: angle \: be \: 90 - x \degree$

$\tt Now, \: we \: know \: that \\ \tt sum \: of \: complemenrary \: angles = 90\degree$

$\tt \longrightarrow x - (90 - x)= 1 3 \degree$

$\tt \longrightarrow x - 90 + x= 13 \degree$

$\tt \longrightarrow 2x - 90 = 13 \degree$

$\tt \longrightarrow 2x = 13 + 90$

$\tt \longrightarrow 2x = 103$

$\tt \longrightarrow x = \frac{ \cancel{103}}{ \cancel2} = 51.5 \degree$

$\tt The \: first \: angle = x = 51.5 \degree$

$\tt Second \: angle = 90 - x = 38.5 \degree$

Answered by nnwnw

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